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Finding the Fourth Proportional to 538.80, 743.58 and 305.96

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Solution

The fourth proportional to 538.80, 743.58 and 305.96 is: 422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.80 : 743.58 = 305.96 : x
  2. Step 2: Convert to fraction form
    538.80/743.58 = 305.96/x
  3. Step 3: Cross multiply
    538.80x = 743.58 × 305.96
  4. Step 4: Simplify right side
    538.80x = 227,505.74
  5. Step 5: Solve for x
    x = 227,505.74/538.80
  6. Step 6: Final answer
    x = 422.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.